241028480 has 256 divisors, whose sum is σ = 739100160. Its totient is φ = 72990720.

The previous prime is 241028453. The next prime is 241028527. The reversal of 241028480 is 84820142.

241028480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×241028480² = 116189456342220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3301724 + ... + 3301796.

It is an arithmetic number, because the mean of its divisors is an integer number (2887110).

Almost surely, 2^241028480 is an apocalyptic number.

241028480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369550080).

241028480 is an abundant number, since it is smaller than the sum of its proper divisors (498071680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241028480 is a wasteful number, since it uses less digits than its factorization.

241028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 241028480 is about 15525.0919481979. The cubic root of 241028480 is about 622.3329379705.

The spelling of 241028480 in words is "two hundred forty-one million, twenty-eight thousand, four hundred eighty".